Complex Analysis and Operator Theory最新文献_第2页

On the Structure of Real Operators 论实数算子的结构

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-30 DOI: 10.1007/s11785-024-01592-4

Ying Yao, Luoyi Shi

引用次数: 0

Some Operators on Minimal $$alpha $$ -Möbius Invariant Function Spaces 最小 $$α $$ - 莫比乌斯不变函数空间上的一些算子

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-29 DOI: 10.1007/s11785-024-01587-1

Zengjian Lou, Xiaojing Zhou

引用次数: 0

Periodic Functions: Self-Intersection and Local Singular Points 周期函数：自交和局部奇异点

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-26 DOI: 10.1007/s11785-024-01586-2

Lev Sakhnovich

引用次数: 0

A Research Story 研究故事

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-24 DOI: 10.1007/s11785-024-01580-8

Alexander Kheifets

引用次数: 0

The Generalized Toeplitz Determinants for a Class of Holomorphic Mappings in Several Complex Variables 几种复变量中一类全态映射的广义托普利兹决定因素

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-19 DOI: 10.1007/s11785-024-01585-3

Qinghua Xu, Ting Jiang

引用次数: 0

Extended Joint Numerical Radius of the Spherical Aluthge Transform 扩展的球面阿鲁什变换联合数值半径

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-14 DOI: 10.1007/s11785-024-01583-5

Bouchra Aharmim, Yassine Labbane

{"title":"Extended Joint Numerical Radius of the Spherical Aluthge Transform","authors":"Bouchra Aharmim, Yassine Labbane","doi":"10.1007/s11785-024-01583-5","DOIUrl":"https://doi.org/10.1007/s11785-024-01583-5","url":null,"abstract":"Let (T=(T_{1}, T_{2},ldots , T_{n})) be a commuting (n-)tuple of operators on a complex Hilbert space H. We define the extended joint numerical radius of T by $$begin{aligned} J_{t}w_{(N, v)}(T)=sup limits _{(lambda _{1}, lambda _{2}, ldots , lambda _{n})in overline{B_{n}}(0, 1)}w_{(N, v)}bigg (sum limits _{i=1}^{n}lambda _{i}T_{i}bigg ), end{aligned}$$where N is any norm on B(H), $$w_{(N, v)}(S)=sup limits _{theta in mathbb {R}}N(ve^{itheta }S+(1-v)e^{-itheta }S^{*}), Sin B(H), vin [0, 1],$$and (overline{B_{n}}(0, 1)) denotes the closure of the unit ball in (mathbb {C}^{n}) with respect to the euclidean norm, i.e. $$overline{B_{n}}(0, 1)=left{ lambda =(lambda _{1}, ldots , lambda _{n})in mathbb {C}^{n}; parallel lambda parallel _{2}=bigg (sum limits _{i=1}^{n}|lambda _{i}|^{2}bigg )^{frac{1}{2}}le 1 right} .$$In this paper, we prove several inequalities for the extended joint numerical radius involving the spherical Aluthge transform in the case where N is the operator norm of B(H) or the numerical radius.","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"18 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142214602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Kernel, Image and Scattering Representations of Passive State/Signal Systems 被动状态/信号系统的内核、图像和散射表示法

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-14 DOI: 10.1007/s11785-024-01581-7

Damir Z. Arov

引用次数: 0

Semi-commutants of Toeplitz Operators on Fock–Sobolev Space of Nonnegative Orders 非负数阶的 Fock-Sobolev 空间上 Toeplitz 算子的半通约数

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-05 DOI: 10.1007/s11785-024-01574-6

Jie Qin

引用次数: 0

Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method 用最大函数法估算双相问题整个空间的梯度

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-08-01 DOI: 10.1007/s11785-024-01579-1

Beilei Zhang, Bin Ge

{"title":"Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method","authors":"Beilei Zhang, Bin Ge","doi":"10.1007/s11785-024-01579-1","DOIUrl":"https://doi.org/10.1007/s11785-024-01579-1","url":null,"abstract":"Within this article, the maximal function method is used to establish the Calderón-Zygmund estimates for the weak solutions of a class of non-uniformly elliptic equations $$begin{aligned} -textrm{div}A(x,Du)=-textrm{div}F(x,f) quad in quad {mathbb {R}}^n, end{aligned}$$where (A(x,Du)approx |Du|^{p_1-2}+mu (x)|Du|^{p_2-2}), (F(x,f)approx |f|^{p_1-2}+mu (x)|f|^{p_2-2}) and (1<p_1<p_2), (0le mu (cdot )in C^{0,alpha }({mathbb {R}}^n),;alpha in (0,1]). The aforementioned problems arise as Euler-Lagrange equations for variational functionals that were originally presented and studied within the context of Homogenization and the Lavrentiev phenomenon by Marcellini (Arch Ration Mech Anal 105:267–284, 1989. https://doi.org/10.1007/BF00251503) and Zhikov (Izv Akad Nauk SSSR Ser Mat 29:33–66, 1987. https://doi.org/10.1070/IM1987v029n01ABEH000958). They are distinctive in that they exhibit that the growth and ellipticity change between two distinct types of polynomial depending on the position. This feature is characteristic of strongly anisotropic materials. The contribution of this paper is closely tied to the significant advancements made by Colombo and Mingione (J Funct Anal 270:1416–1478, 2016. https://doi.org/10.1016/j.jfa.2015.06.022) in the qualitative analysis of double phase problems, as well as the related techniques used by Zhang et al. (Ann Polon Math, 114:45–65, 2015. https://doi.org/10.4064/ap114-1-4).","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"77 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141870267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Sharp Pointwise Estimate of $$alpha $$ -Harmonic Functions 谐函数 $$alpha $$ 的尖锐点估计

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-07-20 DOI: 10.1007/s11785-024-01578-2

David Kalaj

引用次数: 0